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Omni-MATH / Determine (with proof) whether there is a subset X of the integers with the following property: for any integer n there is exactly one solution of a+2b=n with a,b∈X .

Problem

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problem

Determine (with proof) whether there is a subset XX of the integers with the following property: for any integer nn there is exactly one solution of a+2b=na + 2b = n with a,b∈Xa,b \in X .
Plain-text mathematical notation (without MathML)
Determine (with proof) whether there is a subset X of the integers with the following property: for any integer n there is exactly one solution of a+2b=n with a,b∈X .
Original LaTeX notation
Determine (with proof) whether there is a subset $X$ of the integers with the following property: for any integer $n$ there is exactly one solution of $a + 2b = n$ with $a,b \in X$ .

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Source and history

task_id
35e93067-eacb-58aa-97e9-5338765b39e5
task_key
test--35e93067-eacb-58aa-97e9-5338765b39e5
task_revision_id
1
config / split
/ test

Official source

initial import